C1 chapter 8 - integration

"In this chapter you will learn how to integrate simple functions."

C1 section 1.1

You need to already know:

• how to differentiate polynomials (C1 chapter 7)
• standard derivative rules of polynomial terms off-by-heart
• how to rewrite roots and reciprocals using fractional and negative indices (C1 chapter 1.6)
  
  

By completing this section you will learn:

• how to integrate simple polynomials by reversing the process of differentiation
• why these (indefinite) integrals need a "+ c" term
• that x(n-1) is exception and cannot be integrated this way.

Examples:

C1 Exercise 8A

• C1 Exercise 8A worked solutions:
• Questions similar to this exercise:

C1 section 8.2

which we can solve for x = 4 using this: in Wolfram|alpha for instance